EKELAND'S PRINCIPLE FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS

In this paper, we introduce a concept of quasi C-lower semicontinuity for setvalued mapping and provide a vector version of Ekeland＇s theorem related to set-valued vector equilibrium problems. As applications, we derive an existence theorem of weakly efficient solution for set-valued vector equilibrium problems without the assumption of convexity of the constraint set and the assumptions of convexity and monotonicity of the set-valued mapping. We also obtain an existence theorem of ε-approximate solution for set-valued vector equilibrium problems without the assumptions of compactness and convexity of the constraint set.

ALGORITHMS FOR A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND A COUNTABLE FAMILY OF SOME NONLINEAR MULTI-VALUED NONEXPANSIVE-TYPE MAPS

In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem anda common fixed point of a countable family of totally quasi-C-asymptotically nonexpansivemulti-valued maps are constructed. Strong convergence of the sequence generated by thesealgorithms is proved in uniformly smooth and strictly convex real Banach spaces with Kadec-Klee property. Furthermore, several applications of our theorems are also presented. Finally,our theorems are significant improvements on several important recent results for this classof nonlinear problems.

Development potential of the Northeast Passage based on a multinomial-logit-based stochastic user equilibrium model

We developed a multinomial-logit-based stochastic user equilibrium(MNL SUE)model incorporating time value of cargo to investigate future proportions of cargo flow through the Northeast Passage(NEP)and the Suez Canal Route between representative ports.We studied navigation during the ice-free and ice-covered seasons using sea ice projections for 2070 based on 1991–2021 NEP ice data.Sailing distance and time between selected ports are lower via the NEP than the Suez Canal Route.Under the scenario of year-round operation of the NEP,the proportion of cargo flow through the NEP is estimated to be 68.5%,which represents considerable commercial potential.Proportions are higher for the ice-free season and for ports at high latitudes.We also assessed flow under different scenarios.Under the scenario of fuel price increase,proportion of flow through the NEP in the ice-covered season is expected to increase.If time value is ignored,flow through the NEP is expected to increase all year round.If shippers become more cost-conscious,flow through the NEP is also expected to increase.

快慢车模式下早高峰时空乘车路径选择研究

研究早高峰通勤乘客的时空出行规律有助于更好地组织快慢车运营模式。本文从一种常见的快慢车运营模式出发,首先,根据乘客的起点车次和直达/换乘方案联合选择构建乘车路径;其次,以出行时间、早到/迟到延误和车内拥挤度作为早高峰通勤乘客出行选择的影响因素,对不同乘车路径下的出行成本进行构建;再次,以用户均衡理论建立乘车路径分配模型,并证明了该模型用户均衡路段解的存在性及唯一性;最后通过案例,对均衡模型进行验证。研究结果发现:短途乘客更愿意接受高拥挤但终点到达时刻接近工作开始时刻的车次,而长途乘客的车次选择分布较为均匀;除出行时间因素以外,延误惩罚和乘车拥挤同样影响早高峰通勤乘客的换乘行为,虽然换乘快车有可能降低出行时间,但高延误惩罚和拥挤成本会导致部分站点的乘客不选择换乘路径。

基于奇异值分解张拉整体结构找形方法

张拉整体结构是由一组不连续的受压单元包含于连续受拉单元组成的稳定自平衡结构,为了寻找自平衡状态下的构型,引入奇异值分解的方法,将寻找张拉整体结构的自平衡构型问题转化为最小奇异值的判定。通过广义节点坐标和构件之间的连接关系建立结构的数学模型;引入力密度的概念,对张拉整体结构进行受力分析,列写包含平衡矩阵的平衡方程;对平衡矩阵进行奇异值分解,利用分解获得的最小奇异值判断平衡方程是否有解,对张拉整体结构是否存在自平衡构型进行初步判定,再依据获得的力密度的均匀性(同组构件力密度大小相等)和正负属性(杆的力密度小于0,索的力密度大于0)对结构自平衡状态进一步判断;通过实例分析对该找形方法的可行性进行了验证,结果表明:该方法可以找到张拉整体结构自平衡构型。本文为寻找自平衡张拉整体结构提供了一种思路。

考虑主体信用的配电网分布式绿电交易方法

发展分布式可再生能源是推动能源转型的关键手段,组织市场化交易能够促进分布式可再生能源生产和消纳.然而,可再生能源出力的不确定性使其容易在市场交割时出现偏差,进而为配电系统安全运行带来压力,但现有市场化交易机制仍难以激励市场主体主动减少偏差.为此,通过量化信用成本来引导分布式绿电的诚信交割行为.同时,考虑分布式绿电主体的策略性报价行为,建立考虑主体信用的分布式绿电市场化交易模型.然后,提出基于最优响应法的迭代算法来计算绿电市场的纳什均衡点.算例结果表明:所提市场机制能够以激励相容的方式引导用户的诚信行为,在降低交割偏差的同时提高绿电市场社会福利.

NONEMPTY INTERSECTION THEOREMS AND SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN PRODUCT G-CONVEX SPACES

By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.

Equilibrium of Organic Matter in Heavy Fraction for Three Long-term Experimental Field Soils in China

Considerable evidence that the soil organic matter (OM) level in agricultural soils will gradually over time reach an equilibrium state under certain bioclimatic conditions and for certain cropping systems has been accumulating. Although models or long-term experiments have been used, this research used physical fractionation procedure to attain an soil OM equilibrium value. To obtain soil OM equilibrium values in the heavy fraction, typical soils from three long-term field experiments at Fengqiu and Yingtan State Key Agro-Ecological Experimental Stations in China were studied using a simple density fractionation procedure and employing the Langmuir equation. Results for the fluvo-aquic soil with organic fertilizer treatments indicated that the soil OM equilibrium value in the heavy fraction was twofold more than that in the inorganic treatments; however, for the paddy soil developed on red soil the OM equilibrium value in the heavy fraction for both treatments was almost identical. It suggested that for fluvo-aquic soils the increased potential of OM for the heavy fraction in the long run was larger for the organic than the inorganic fertilizer applications, whereas for paddy soils developed on red soils under the same conditions the present OM content in the heavy fraction was at or close to this equilibrium level for all treatments, and increased potential was very limited.

LEVITIN-POYAK WELL-POSEDNESS OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS WITH FUNCTIONAL CONSTRAINTS

In this article, we study Levitin-Polyak type well-posedness for generalized vector equilibrium problems with abstract and functional constraints. Criteria and characterizations for these types of well-posednesses are given.

NONEMPTY INTERSECTION THEOREMS AND SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN PRODUCT G-CONVEX SPACES

By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.

A NEW CLASS OF BILEVEL GENERALIZED MIXED EQUILIBRIUM PROBLEMS IN BANACH SPACES

A new class of bilcvel generalized mixed equilibrium problems involving setvalued mappings is introduced and studied in a real Banach space. By using the auxiliary principle technique, new iterative algorithms for solving the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems involving set-valued mappings are suggested and analyzed. Existence of solutions and strong convergence of the iterative sequences generated by the algorithms are proved under quite mild conditions. The behavior of the solution set of the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems is also discussed. These results are new and generalize some recent results in this field.

Mobility and equilibrium stability analysis of pin-jointed mechanisms with equilibrium matrix SVD

Under certain load pattern, the geometrically indeterminate pin-jointed mechanisms will present certain shapes to keep static equalization. This paper proposes a matrix-based method to determine the mobility and equilibrium stability of mechanisms according to the effects of the external loads. The first and second variations of the potential energy function of mechanisms under conservative force field are analyzed. Based on the singular value decomposition (SVD) method, a new crite- rion for the mobility and equilibrium stability of mechanisms can be concluded by analyzing the equilibrium matrix. The mobility and stability of mechanisms can be classified by unified matrix formulae. A number of examples are given to demonstrate the proposed criterion. In the end, criteria are summarized in a table.

Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems

In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters are investigated.

Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

The purpose of this paper is to find the solutions to the quadratic mini- mization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above min- imization problem. The results presented in the paper extend and improve some recent results.

Won和P-UNIQUAC两类非电解质固液相平衡计算模型评价及改进

非电解质固液平衡模型对石油化工流程模拟的结晶过程计算具有重要作用。采用2种不同体系的实验数据,从基于正规溶液理论和局部组成理论的6种非电解质固液相平衡模型出发,依次评价了它们对固相分率和固相组成的计算精度,并对相平衡计算模型进行改进。6种相平衡模型对固相分率计算结果的平均绝对偏差(AAD)介于2.58%~9.14%。研究发现,预测模型中的固液相焓差修正项影响固液相平衡预测结果的准确性。通过在Won、P-UNIQUAC和P-UNIQUAC(Ghanaei)相平衡模型中分别增加Pedersen、Ghanaei和DIPPR固液相焓差修正项改进模型并用实验数据进行评价。结果表明,9种改进的相平衡模型对固相分率的计算结果优于原始模型,对固相分率计算结果的AAD介于3.36%~6.31%。

市场竞争、劳动价值与价格——一个马克思主义的非均衡理论和经验框架

市场价格、生产价格和价值的相关性和偏离度测算是检验劳动价值论的重要指标。但是,生产价格向量的求解尚未形成公认的解法,同时经济运动具有复杂性和动荡性,以完全竞争条件下的经济均衡为前提的生产价格从理论上并不能直接等价于市场价格。因此,本文从非均衡价格的视角出发,推导出了商品相对价格的取值范围由相对价值、剩余价值率和生产投入的技术结构共同决定,相对价格受市场竞争影响,在劳动价值论决定的取值范围内波动。本文基于中国经济数据的经验研究结果,不仅在一个更一般的意义上证明了劳动价值论的科学性和现实解释力,同时还揭示了剩余价值在产业部门间的分布情况,使劳动价值论发展为用于分析市场竞争、技术关系对产业结构和分配的实证研究框架。

不规则三杆张拉整体结构的找形

为了获得不规则形态的张拉整体结构,本文提出了一种确定稳定构型的思路,即基于规则张拉整体结构在大部分构件长度不变的条件下,在一定范围内改变其个别构件长度,稳定状态时这些构件的长度最小。通过规则张拉整体结构单元稳定条件分析、非规则三杆张拉整体结构的稳定构型分析、求解思路分析几个方面的研究,获得了具体的构型方法,并通过具体数值求解、仿真分析和搭建实物模型等手段对此方法的正确性进行了验证,证明此方法求得的结构稳态数值的精度较高。为张拉整体结构基于构件变化的找形及机构化分析提供了一种思路。

机制与价值双重维度:人口空间均衡研究进展与展望

聚焦人口空间均衡,是根据现阶段中国人口均衡发展面临的突出问题,针对性地对人口均衡问题的复杂性作出有重点的简化。本研究主要包括以下几个方面:从宏观经济学的市场要素引申的人口空间均衡及社会经济结构的均衡、自然地理空间规定性影响下的人口及其他要素的空间均衡,以及城市化进程中居民点体系的人口空间均衡等方面探讨机制维度的人口空间均衡;从价值维度探讨中国语境下的人口空间均衡;从全国及各地人口空间均衡发展存在的主要问题、原因分析及界定与测量方法等方面探讨人口空间均衡在中国的实践探索。未来的人口空间均衡研究,应回归均衡本质,从微观个体迁移行为出发,将这一具有很强应用价值的概念进行学科化、学术化探索;应引入新的研究方法与分析工具,建构人口空间均衡的科学评价标准;应在价值与机制两种话语体系的人口空间均衡中搭建沟通的桥梁,建立一种能够将两种维度关联的、综合的人口空间均衡概念。

空间均衡导向下的生态产品价值实现路径及演进——基于改进四象限模型的理论分析

研究目的:测度2015—2020年全国31省的物质和生态财富价值变化,探讨生态产品价值实现的空间均衡框架,为不同区域的实践探索提供参考。研究方法:改进四象限模型、归纳总结法和案例分析法。研究结果:(1)2015—2020年全国31省GEP和人均GEP分别增长了19.35%和16.80%,但空间不均衡的格局差异愈发明显。(2)以物质和生态财富的均衡状态构建基于改进四象限模型的空间均衡框架,将31省划分为6个象限分区,各分区生态产品的供需强度存在相对势差。(3)处于不同象限的地区应在生态修复整治、生态保护补偿、生态权益交易、生态产业开发、产业生态转型5种主要路径中因地制宜进行匹配组合,并朝着物质与生态财富协同的理想均衡线演进。研究结论:剖析物质与生态财富的协同关系及生态产品供需强度对生态产品价值实现路径的指导依据,探索价值实现的空间均衡方向和路径演进策略,有利于实现区域间“富绿”协同。

海洋蓝碳生态系统服务价值评估——以盐城市海洋蓝碳为例

根据经济学局部均衡理论,论文首先核算单位海洋蓝碳物质量,并利用碳交易价格作为海洋蓝碳的单位价格,将物质量与价值量相乘,得到单位海洋蓝碳经济价值,然后通过规模乘数效应,核算盐城市海洋蓝碳生态系统服务经济价值总量。由于生态系统服务功能指的是人类从生态系统提供的服务中获得的经济效益增加或减少的经济损失,因此,对海洋蓝碳服务功能的评估基于流量的概念,时间维度为一年。为避免重复计算,只考虑最终流向人类的海洋蓝碳服务效益,而不考虑支持性的服务过程。该研究不仅能够用于核算盐城市海洋蓝碳生态系统服务功能,而且能为其他生态系统服务价值评估提供借鉴。